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How do you work out 5/6y-2=8

User Almas
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2 Answers

1 vote

(5)/(6) y - 2 = 8 \\ \\ (5y)/(6) - 2 = 8 \ / \ simplify \\ \\ (5y)/(6) = 8 + 2 \ / \ add \ 2 \ to \ each \ side \\ \\ (5y)/(6) = 10 \ / \ simplify \\ \\ 5y = 10 * 6 \ / \ multiply \ each \ side \ by \ 6 \\ \\ 5y = 60 \ / \ simplify \\ \\ y = (60)/(5) \ / \ divide \ each \ side \ by \ 5 \\ \\ y = 12 \ / \ simplify \\ \\

The final answer is y = 12.
User Neil
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7.9k points
5 votes
5/6y-2=8
+2 +2
Add the reciprocal to cancel out the twos andd 8+2=10
so you have left 5/6y=10 and you'll take the reciprocal of 5 divided by 6 times five and cancels the 5/ out and also multiply 10*5 and you're left with 6y=50 then you just divide by six and there you go you have y=12

hope this helped

User Jglouie
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